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Finding the Fourth Proportional to 203,443.30, 305,164.95 and 128,793.70

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Solution

The fourth proportional to 203,443.30, 305,164.95 and 128,793.70 is: 193,190.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,443.30 : 305,164.95 = 128,793.70 : x
  2. Step 2: Convert to fraction form
    203,443.30/305,164.95 = 128,793.70/x
  3. Step 3: Cross multiply
    203,443.30x = 305,164.95 × 128,793.70
  4. Step 4: Simplify right side
    203,443.30x = 39,303,323,020.82
  5. Step 5: Solve for x
    x = 39,303,323,020.82/203,443.30
  6. Step 6: Final answer
    x = 193,190.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.